2940288000 has 704 divisors, whose sum is σ = 11444858880. Its totient is φ = 663552000.

The previous prime is 2940287983. The next prime is 2940288011. The reversal of 2940288000 is 8820492.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94847985 + ... + 94848015.

Almost surely, 2^2940288000 is an apocalyptic number.

2940288000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2940288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5722429440).

2940288000 is an abundant number, since it is smaller than the sum of its proper divisors (8504570880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2940288000 is a wasteful number, since it uses less digits than its factorization.

2940288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2940288000 is about 54224.4225418768. The cubic root of 2940288000 is about 1432.6165275918.

The spelling of 2940288000 in words is "two billion, nine hundred forty million, two hundred eighty-eight thousand".